231001112100000 has 1728 divisors, whose sum is σ = 859988559459456. Its totient is φ = 54208281600000.

The previous prime is 231001112099993. The next prime is 231001112100007. The reversal of 231001112100000 is 1211100132.

It is an interprime number because it is at equal distance from previous prime (231001112099993) and next prime (231001112100007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (231001112100007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 393528299707 + ... + 393528300293.

It is an arithmetic number, because the mean of its divisors is an integer number (497678564502).

Almost surely, 2^{231001112100000} is an apocalyptic number.

231001112100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231001112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429994279729728).

231001112100000 is an abundant number, since it is smaller than the sum of its proper divisors (628987447359456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231001112100000 is a wasteful number, since it uses less digits than its factorization.

231001112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 231001112100000 its reverse (1211100132), we get a palindrome (231002323200132).

The spelling of 231001112100000 in words is "two hundred thirty-one trillion, one billion, one hundred twelve million, one hundred thousand".